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Finding the Fourth Proportional to 49.55, 68.36 and 40.38

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Solution

The fourth proportional to 49.55, 68.36 and 40.38 is: 55.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.55 : 68.36 = 40.38 : x
  2. Step 2: Convert to fraction form
    49.55/68.36 = 40.38/x
  3. Step 3: Cross multiply
    49.55x = 68.36 × 40.38
  4. Step 4: Simplify right side
    49.55x = 2,759.92
  5. Step 5: Solve for x
    x = 2,759.92/49.55
  6. Step 6: Final answer
    x = 55.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.